Graphing Rational Functions: Asymptotes and Holes

What is the vertical asymptote of the parent function y=1/x?

• x=0

• y=1

• x=1

• y=0

Tags

CCSS.HSF-IF.C.7D

What is the domain of y=1/x?

• x ≠ 0

• All real numbers

• x < 0

• x > 0

For the function y=1/x^2, what is the range?

• All real numbers

• y < 0

• y > 0

• y ≠ 0

For the function y=1/(x^2), which quadrant does the graph not occupy?

• I and III

• II and IV

• I and II

• III and IV

Tags

CCSS.HSF-IF.C.7E

When graphing y=1/(x-1), what is the vertical asymptote?

• x=1

• y=0

• x=0

• x=-1

Tags

CCSS.HSF-IF.C.7D

What is the range of y=1/(x-1)?

• All real numbers

• y ≠ 1

• y ≠ 0

• y > 0

How does adding a constant outside the function affect the horizontal asymptote?

• No effect

• Changes its slope

• Shifts it horizontally

• Shifts it vertically

Tags

CCSS.HSF-IF.C.7D

For y=1/(x+2)-3, what is the horizontal asymptote?

• y=0

• y=-3

• y=3

• x=-2

Tags

CCSS.HSF-IF.C.7D

What is the equation of the slant asymptote for y=(2x^2+6x-8)/(x-2)?

• y=2x+10

• y=x+5

• y=2x-10

• y=x-5

Tags

CCSS.HSF-IF.C.7D

What does a negative sign in front of the function indicate?

• Horizontal shift

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical shift